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  • As shown in the figure, three identical polaroids P1, P2 and P3 are placed one after another. The pass axis of P2 and P3 are inclined at

As shown in the figure, three identical polaroids P1, P2 and P3 are placed one after another. The pass axis of P2 and P3 are inclined at angle of 60^{\circ} and 90^{\circ} with respect to axis of P1.The source S has an intensity of 256\frac{W}{m^2}. The intensity of light at point O is  -\frac{{W}}{m^2}

 

Option: 1

24


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\small \text{Intensity of source }I_0=256 \frac{\mathrm{W}}{\mathrm{m}^2}\\ \text{ Intensity after passing }P_1 \text { is } I_1=\frac{I_0}{2}=128 \frac{\mathrm{W}}{\mathrm{m}^2}\\ \text{Intensity after passing } P_2\text{ is } I_2=I_1 \cos ^2 \theta

\small \begin{aligned} =(128) \cdot \cos ^2 60^{\circ} \\ 128 \times \frac{1}{4}=32 \frac{\mathrm{W}}{\mathrm{m}^2} \end{aligned}

intensity after passing \small \mathrm{P}_3 \text{ is } \mathrm{I}_3=I_2 \cos ^2 \theta

angle b/w \small \mathrm{p}_2 \text{ and } \mathrm{p}_3=30^{\circ}
So, \small I_3=32 \cos ^2 30^{\circ}=32 \times \frac{3}{4}=24 \frac{\mathrm{W}}{\mathrm{m}^2}

Posted by

SANGALDEEP SINGH

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